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While studying Kapitza’s pendulum for my course, I couldn’t find anything in ordinary textbooks. The only legitimate source was to actually read his research paper that Pyotr Kapitza published in the 1950s. Here is the link: https://www.sciencedirect.com/book/9780080109732/collected-papers-of-p-l-kapitza

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Among many (at least 10) analytical mechanics textbooks that I have read, I would say that this book is the most approachable and beginner-friendly analytical mechanics textbook I have ever read (at among those written in English). I also realized that the order of the contents well-aligns with the course “Meccanica Lagrangiana” at Politecnico di Torino.

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Il volume costituisce un esempio rilevante di studio delle trasformazioni urbane, significativo sia rispetto al contesto tematico (come cambia la città contemporanea in Giappone) sia da un punto di vista metodologico in senso più ampio (come si affronta l’esplorazione delle trasformazioni urbane “ordinarie”).

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Raccolta di saggi dedicata a un tema fondamentale della costruzione e della concezione dell’architettura contemporanea, l’esattezza e le tolleranze dimensionali.

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Importante volume, nel quadro del quarto centenario guariniano, di indagine e censimento sull’architettura del centro Europa ispirata dai progetti del Guarini.

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This book provides an understanding of differential equations, but more from the pure math side of things. V. Arnold gives a wonderful picture of what the field is all about, with a mixture of high-level intuitions and low-level details, with a satisfying focus on visual and physical intuition along the way. I am aware that this book is available in DISMA, but it is not accessible to non-math majors.

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Unlike classical differential geometry books like Kreyzig, this is a relatively modern differential geometry textbook. What differentiates this book most from other differential geometry textbooks is that this book contains a lot of very useful physics applications like a cycloidal pendulum (Huygens pendulum). I found this textbook to be extremely helpful when studying classical mechanics. In addition, there are some professors who teach curves and surfaces in a very rigorous way in Mathematical Analysis II (Analisi Matematica II), which would make this book the perfect fit.

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Uno degli ultimi libri di Bruno Latour, una curatela che articola la sua proposta di una nuova cosmologia basata sulle scienze della Terra, un nuovo modo di intendere la nostra vita sullo spazio finito della Terra.

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This is the newest edition of George F. Simmons’s famous “Differential Equations with Applications and Historical Notes.” t drastically changed my outlook on a large part of mathematics. For example, we might wonder why do we put so much effort in studying the convergence of power series in analysis II? The subject is interesting on its own, but aside from the abstract interest, it’s ultimately because we want to use those methods to understand power series solutions of differential equations.
This book is clearly written, and it not only makes the subject interesting but deeply fascinating. Great mathematicians like Gauss and Laplace were trying to solve problems of physics and engineering, in which differential equations are ubiquitous, and these problems are the primary motivation for a large part of analysis and topology. Unlike other books on ODE, Simmons’ exercises are fun. It was fun just to read them, and each one got me excited to try to find out the answer.

I am aware that the university library has the first edition copy (1972), but this latest 3rd edition was augmented with a chapter dedicated to Laplace transform, improvements on the explanations of Abel’s mechanical problem, tautochrone, Van der Pol equations (Nonlinear dynamics-discussed in classical mechanics courses), and etc.

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This is not a typical advanced calculus book. This was written by one of the greatest mathematicians of our era, Terence Tao. He actually wrote two books for undergraduate students, “Analysis I” and “Analysis II.” In this book, he discusses topics like metric spaces, uniform convergence, Lebesgue measures, and Lebesgue integration. These topics are not very well discussed in a typical advanced calculus book (or Analysis II or Analysis I). What’s more surprising is that despite the difficulty of the topics he discusses, Tao made the book quite readable; it can be casually read and understood without picking up a pencil during reading.

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